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Princeton University Press The p-adic Simpson Correspondence (AM-193) - Princeton Press

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Description

Explore the advanced mathematical landscape of the p-adic Simpson correspondence in this scholarly volume from Princeton University Press. Part of the Annals of Mathematics Studies series (193), this book provides a systematic development of a theory recently initiated by Gerd Faltings. The text focuses on describing p-adic representations of the fundamental group of a proper smooth variety over a p-adic field. By utilizing linear algebra through Higgs bundles, the authors offer a deep look into complex algebraic structures. The content follows two distinct new approaches: one presented by Ahmed Abbes and Michel Gros, and another by Takeshi Tsuji. Researchers and students in the field of algebra will find value in the focus on generalized representations of the fundamental group that remain p-adically close to the trivial representation. This work serves as a foundational resource for those studying the intersection of p-adic geometry and representation theory.

Key Features

Covers the p-adic Simpson correspondence theory initiated by Gerd Faltings.

Provides a systematic development using two new mathematical approaches.

Includes specialized research from authors Ahmed Abbes, Michel Gros, and Takeshi Tsuji.

Focuses on p-adic representations of the fundamental group of proper smooth varieties.

Explores the use of Higgs bundles and linear algebra in p-adic fields.

Part of the prestigious Annals of Mathematics Studies series (AM-193).

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
09 March 2016
Listed Since
20 October 2015

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